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Finding the Third Proportional to 135,757 and 292,574

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Solution

The third proportional to 135,757 and 292,574 is: 630,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,757 : 292,574 = 292,574 : x
  2. Step 2: Convert to fraction form
    135,757/292,574 = 292,574/x
  3. Step 3: Cross multiply
    135,757x = 292,574 × 292,574
  4. Step 4: Simplify right side
    135,757x = 85,599,545,476
  5. Step 5: Solve for x
    x = 85,599,545,476/135,757
  6. Step 6: Final answer
    x = 630,535.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.